2ab95a47-da87-4462-aa68-e730a9ef1122 94 overlord 4 5 false false 0 7 decimal

&[DATE] &[TIME] - &[FILENAME]

x a x.0 h y a x x.0 - a / cosh * a - h + :

x a x.0 y' x.0 x - a / sinh - :

data x.1 y.1 L l G g.c x.2 y.2 cm cm cm cm g g cm / cm cm 010135205101738 mat :

j 1 data cols range temp data 1 j el num2str : data 2 j el data 3 j el * num2str concat str2num : temp Clear 21 line for

Correct order for guess x.1 a.1 x.0 h y y.1 ≡ Unknowns a.1 h x.0 31 mat

guess a.1 5 cm * ≡ h 10 cm * ≡ x.0 1 cm * ≡ 31 mat :

guess FindRoot

x.1 a.1 x.0 h y y.1 ≡

Solve without mathcad block x.1 a.1 x.0 h y y.1 ≡ x.2 a.1 x.0 h y y.2 ≡ L 1 x a.1 x.0 y' (2^+ sqrt x x.1 x.2 int maple ≡ 31 mat guess FindRoot cm 6.7006 9.9314 0.9652 31 mat

x.2 a.1 x.0 h y y.2 ≡

L 1 x a.1 x.0 y' (2^+ sqrt x x.1 x.2 int maple ≡

a.1 x.0 h 31 mat cm 6.701 0.965 9.931 31 mat

x.cg x 1 x a.1 x.0 y' (2^+ sqrt * x x.1 x.2 int 1 x a.1 x.0 y' (2^+ sqrt x x.1 x.2 int / : cm 5.6462

y.cg x a.1 x.0 h y 1 x a.1 x.0 y' (2^+ sqrt * x x.1 x.2 int 1 x a.1 x.0 y' (2^+ sqrt x x.1 x.2 int / : cm 12.4331

x.s x.1 x.2 x.1 x.2 x.1 - 300 / + range :

y.s x.s a.1 x.0 h y vectorize :

x.s cm / y.s cm / augment x.cg cm / y.cg cm / . 20 red 1 5 mat x.2 cm / 0 x.2 cm / 20 2 2 mat 3 1 sys

With G Left catenary part + H + Right catenary part

x# arcsinh x# asinh :

x.g a x.0L x.0R h.L h.R PE g.e g.c * x a x.0L h.L y 1 x a x.0L y' (2^+ sqrt * x x.1 x.g int maple * g.e G * x.g a x.0L h.L y * g.e g.c * x a x.0R h.R y 1 x a x.0R y' (2^+ sqrt * x x.g x.2 int maple * + + :

x.1 x.2 + 2 / a.1 x.0 x.0 h h PE 0.1012 J *

x.g a x.0L x.0R h.L h.R eq x.1 a x.0L h.L y y.1 - x.2 a x.0R h.R y y.2 - l 1 x a x.0L y' (2^+ sqrt x x.1 x.g int maple - L l - 1 x a x.0R y' (2^+ sqrt x x.g x.2 int maple - 41 mat :

guess a.1 h h x.0 x.0 x.2 x.1 + 2 / 61 mat cm 1 -^* :

Correct order for solver solution x.g a x.0L x.0R h.L h.R eq Unknowns a h.L h.R x.0L x.0R x.g 61 mat

v f v 1 el cm * v 2 el cm * v 3 el cm * v 4 el cm * v 5 el cm * v 6 el cm * eq :

a h.L h.R x.0L x.0R x.g 61 mat guess 0105 -^v f al_nleqsolve cm * : cm 3.8739 11.3651 10.3183 1.5252 - 4.9853 10.638 61 mat

Solution above is wrong as it can be seenat this result due to lack of Minimize function x.g a x.0L x.0R h.L h.R PE 0.7505 J *

y.g x.g a x.0R h.R y : cm 15.2279

x.L x.1 x.g x.1 x.g x.1 - 300 / + range :

x.R x.g x.2 x.g x.2 x.g - 300 / + range :

y.L x.L a x.0L h.L y vectorize :

y.R x.R a x.0R h.R y vectorize :

x.gL x 1 x a x.0L y' 2^+ sqrt * x x.1 x.g int 1 x a x.0L y' 2^+ sqrt x x.1 x.g int / : cm 7.3702

y.gL x a x.0L h.L y 1 x a x.0L y' 2^+ sqrt * x x.1 x.g int 1 x a x.0L y' 2^+ sqrt x x.1 x.g int / : cm 31.1189

x.gR x 1 x a x.0R y' 2^+ sqrt * x x.g x.2 int 1 x a x.0R y' (2^+ sqrt x x.g x.2 int / : cm 10.3267

y.gL x a x.0R h.R y 1 x a x.0R y' (2^+ sqrt * x x.g x.2 int 1 x a x.0R y' (2^+ sqrt x x.g x.2 int / : cm 14.6314

x.L cm / y.L cm / augment x.R cm / y.R cm / augment 2 1 sys